| Scientific Name | Author | English Name |
|---|---|---|
| Berryteuthis anonychus | (Pearcy & Voss, 1963) | Smallfin gonate squid |
| Berryteuthis magister | (Berry, 1913) | Schoolmaster gonate squid |
| Eogonatus tinro | (Nesis, 1972) | |
| Gonatopsis borealis | Sasaki, 1923 | Boreopacific gonate squid |
| Gonatopsis japonicus | Okiyama, 1969 | |
| Gonatopsis makko | Okutani & Nemoto, 1964 | Mako gonate squid |
| Gonatopsis octopedatus | Sasaki, 1920 | |
| Gonatopsis okutanii | Nesis, 1972 | |
| Gonatus antarcticus | Lönnberg, 1898 | |
| Gonatus berryi | Naef, 1923 | Berry armhook squid |
| Gonatus californiensis | Young, 1972 | California armhook squid |
| Gonatus fabricii | (Lichtenstein, 1818) | Boreoatlantic gonate squid |
| Gonatus kamtschaticus | (Middendorff, 1849) | Shortarm gonate squid |
| Gonatus madokai | Kubodera & Okutani, 1977 | Madokai gonate squid |
| Gonatus onyx | Young, 1972 | Clawed armhook squid |
| Gonatus oregonensis | Jefferts, 1985 | Oregon armhook squid |
| Gonatus pyros | Young, 1972 | Fiery armhook squid |
| Gonatus steenstrupi | Kristensen, 1981 | Atlantic gonate squid |
| Gonatus ursabrunae | Jefferts, 1985 | Brown bear armhook squid |
| Okutania anonycha | (Pearcy & Voss, 1963) |